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Simplifying 9x2 + -30x + 25 = (3x + -25) Reorder the terms: 25 + -30x + 9x2 = (3x + -25) Reorder the terms: 25 + -30x + 9x2 = (-25 + 3x) Remove parenthesis around (-25 + 3x) 25 + -30x + 9x2 = -25 + 3x Solving 25 + -30x + 9x2 = -25 + 3x Solving for variable 'x'. Reorder the terms: 25 + 25 + -30x + -3x + 9x2 = -25 + 3x + 25 + -3x Combine like terms: 25 + 25 = 50 50 + -30x + -3x + 9x2 = -25 + 3x + 25 + -3x Combine like terms: -30x + -3x = -33x 50 + -33x + 9x2 = -25 + 3x + 25 + -3x Reorder the terms: 50 + -33x + 9x2 = -25 + 25 + 3x + -3x Combine like terms: -25 + 25 = 0 50 + -33x + 9x2 = 0 + 3x + -3x 50 + -33x + 9x2 = 3x + -3x Combine like terms: 3x + -3x = 0 50 + -33x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 5.555555556 + -3.666666667x + x2 = 0 Move the constant term to the right: Add '-5.555555556' to each side of the equation. 5.555555556 + -3.666666667x + -5.555555556 + x2 = 0 + -5.555555556 Reorder the terms: 5.555555556 + -5.555555556 + -3.666666667x + x2 = 0 + -5.555555556 Combine like terms: 5.555555556 + -5.555555556 = 0.000000000 0.000000000 + -3.666666667x + x2 = 0 + -5.555555556 -3.666666667x + x2 = 0 + -5.555555556 Combine like terms: 0 + -5.555555556 = -5.555555556 -3.666666667x + x2 = -5.555555556 The x term is -3.666666667x. Take half its coefficient (-1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. -3.666666667x + 3.361111114 + x2 = -5.555555556 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667x + x2 = -5.555555556 + 3.361111114 Combine like terms: -5.555555556 + 3.361111114 = -2.194444442 3.361111114 + -3.666666667x + x2 = -2.194444442 Factor a perfect square on the left side: (x + -1.833333334)(x + -1.833333334) = -2.194444442 Can't calculate square root of the right side. The solution to this equation could not be determined.
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